Rationalize the Denominator and Simplify $\frac { 3 } { \sqrt { x } + 4 }$

question 61

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 3 } { \sqrt { x } + 4 }$

• A) \(\frac { - 12 - 3 \sqrt { x } } { x + 16 }\)
• B) \(\frac { - 12 + 3 \sqrt { x } } { x ^ { 2 } - 16 }\)
• C) \(\frac { - 12 - 3 \sqrt { x } } { x - 16 }\)
• D) \(\frac { - 12 + 3 \sqrt { x } } { x - 16 }\)

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